Upper bound for the Laplacian graph eigenvalues
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Publication:1780291
DOI10.1007/s10114-004-0332-4zbMath1074.15026OpenAlexW2078907300MaRDI QIDQ1780291
Jiong-Sheng Li, Yong-Liang Pan
Publication date: 7 June 2005
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-004-0332-4
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (11)
Signless Laplacian Spectral Radius and Some Hamiltonian Properties of Graphs ⋮ Sharp bounds on the signless Laplacian spectral radii of graphs ⋮ Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs ⋮ A sharp upper bound on the signless Laplacian spectral radius of graphs ⋮ On the distribution of Laplacian eigenvalues of a graph ⋮ On edge singularity and eigenvectors of mixed graphs ⋮ New bounds on the distance Laplacian and distance signless Laplacian spectral radii ⋮ Sharp bounds for the largest eigenvalue of the signless Laplacian of a graph ⋮ Non-bipartite graphs with third largest Laplacian eigenvalue less than three ⋮ A sharp upper bound for the spectral radius of a nonnegative matrix and applications ⋮ Bounds for the Laplacian spectral radius of graphs
Cites Work
- A note on Laplacian graph eigenvalues
- On the Laplacian eigenvalues of a graph
- Laplacian matrices of graphs: A survey
- A new upper bound for eigenvalues of the Laplacian matrix of a graph
- A note on the second largest eigenvalue of the laplacian matrix of a graph∗
- Matrix Analysis
- Eigenvalues of the Laplacian of a graph∗
- The Laplacian Spectrum of a Graph II
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